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Finding the Fourth Proportional to 6,508.56, 9,762.84 and 1,578.12

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Solution

The fourth proportional to 6,508.56, 9,762.84 and 1,578.12 is: 2,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.56 : 9,762.84 = 1,578.12 : x
  2. Step 2: Convert to fraction form
    6,508.56/9,762.84 = 1,578.12/x
  3. Step 3: Cross multiply
    6,508.56x = 9,762.84 × 1,578.12
  4. Step 4: Simplify right side
    6,508.56x = 15,406,933.06
  5. Step 5: Solve for x
    x = 15,406,933.06/6,508.56
  6. Step 6: Final answer
    x = 2,367.18

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.